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Finding the Third Proportional to 263,164 and 578,812

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Solution

The third proportional to 263,164 and 578,812 is: 1,273,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,164 : 578,812 = 578,812 : x
  2. Step 2: Convert to fraction form
    263,164/578,812 = 578,812/x
  3. Step 3: Cross multiply
    263,164x = 578,812 × 578,812
  4. Step 4: Simplify right side
    263,164x = 335,023,331,344
  5. Step 5: Solve for x
    x = 335,023,331,344/263,164
  6. Step 6: Final answer
    x = 1,273,059.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.